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Finding the Third Proportional to 102,278 and 218,772

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Solution

The third proportional to 102,278 and 218,772 is: 467,951.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,278 : 218,772 = 218,772 : x
  2. Step 2: Convert to fraction form
    102,278/218,772 = 218,772/x
  3. Step 3: Cross multiply
    102,278x = 218,772 × 218,772
  4. Step 4: Simplify right side
    102,278x = 47,861,187,984
  5. Step 5: Solve for x
    x = 47,861,187,984/102,278
  6. Step 6: Final answer
    x = 467,951.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.